Least Common Multiple of 564/913, 626/190, 878/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/913, 626/190, 878/618 quickly i.e. 77497548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/913, 626/190, 878/618 is 77497548.

LCM(564/913, 626/190, 878/618) = 77497548

LCM of 564/913, 626/190, 878/618

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 564/913,626/190,878/618

Given numbers are 564/913,626/190,878/618

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 564,626,878

Least Common Multiple of Numerators i.e. LCM of 564,626,878 is 77497548.

GCF of Denominators means GCF of 913,190,618 as per the given fractions.

GCF of 913,190,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,626,878

LCM of Fractions 564/913,626/190,878/618 is 77497548

2 564, 626, 878
282, 313, 439

∴ So the LCM of the given numbers is 2 x 282 x 313 x 439 = 77497548

Least Common Multiple of 564,626,878 with GCF Formula

Least Common Multiple of 564,626,878 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 564,626,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,626,878) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(564,626,878) x common factors =2 x 2 = 4

LCM(564,626,878) = ( 564 × 626 × 878 ) / 4

LCM(564,626,878) = 309990192 / 4

LCM(564,626,878) = 77497548


Lets's calculate GCF of 913,190,618

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77497548/1

Therefore the LCM of Fractions 564/913,626/190,878/618 is 77497548

Greatest Common Factor of 913,190,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,190,618 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 913,190,618 . The biggest common factor number is the GCF number.
So the greatest common factor 913,190,618 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 564/913, 626/190, 878/618

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 564/913, 626/190, 878/618?

Answer: LCM of Numerators as per given numbers 564/913, 626/190, 878/618 is

LCM of Numerators i.e. for 564,626,878 is 77497548

GCF of denominators i.e. for 913,190,618 is 1.

Thus, LCM of Fractions is 77497548.Finally, LCM of Fractions for 564/913, 626/190, 878/618 is 77497548.